Radial power-law position-dependent mass; Cylindrical coordinates, separability, and spectral signatures

Details Radial power-law position-dependent mass; Cylindrical coordinates, separability, and spectral signatures Radial power-law position-dependent mass; Cylindrical coordinates, separability, and spectral signatures

2011-04-07

arxiv.org/abs/1104.1353v1

J. Phys. A: Math. Theor. 44, 355303 (2011)

Physics

Quantum Physics

17 pages

Scientific paper

10.1088/1751-8113/44/35/355303

We discuss the separability of the position-dependent mass Hamiltonian in cylindrical coordinates in the framework of a radial power-law position-dependent mass. We consider two particular radial mass settings; a harmonic oscillator type, and a Coulombic type. We subject the radial harmonic oscillator type mass to a radial harmonic oscillator potential and the radial Coulombic mass to a radial Coulombic potential. Azimuthal symmetry is assumed and spectral signatures of various z-dependent interaction potentials are reported.

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